Chin. Phys. Lett.  2020, Vol. 37 Issue (1): 010301    DOI: 10.1088/0256-307X/37/1/010301
Critical Scaling Behaviors of Entanglement Spectra
Qi-Cheng Tang1,2, Wei Zhu1,2**
1School of Science, Westlake University, Hangzhou 310024
2Institute of Natural Sciences, Westlake Institute of Advanced Study, Hangzhou 310024
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Qi-Cheng Tang, Wei Zhu 2020 Chin. Phys. Lett. 37 010301
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Abstract We investigate the evolution of entanglement spectra under a global quantum quench from a short-range correlated state to the quantum critical point. Motivated by the conformal mapping, we find that the dynamical entanglement spectra demonstrate distinct finite-size scaling behaviors from the static case. As a prototypical example, we compute real-time dynamics of the entanglement spectra of a one-dimensional transverse-field Ising chain. Numerical simulation confirms that the entanglement spectra scale with the subsystem size $l$ as $\sim$$l^{-1}$ for the dynamical equilibrium state, much faster than $\propto$ $\ln^{-1} l$ for the critical ground state. In particular, as a byproduct, the entanglement spectra at the long time limit faithfully gives universal tower structure of underlying Ising criticality, which shows the emergence of operator-state correspondence in the quantum dynamics.
Received: 25 October 2019      Published: 08 November 2019
PACS:  03.65.Ud (Entanglement and quantum nonlocality)  
  11.25.Hf (Conformal field theory, algebraic structures)  
Fund: Supported by the start-up funding from Westlake University, and the National Natural Science Foundation of China under Grant No 11974288.
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Qi-Cheng Tang
Wei Zhu
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